SOLUTION: Peter is 7 years old and Mary is 3 years old. In how many years will the product of their ages be 96? I need a quadratic equation to solve this question

Click here to see ALL problems on Age Word Problems

Question 923975: Peter is 7 years old and Mary is 3 years old. In how many years will the product of their ages be 96?
I need a quadratic equation to solve this question
Found 3 solutions by jim_thompson5910, josgarithmetic, MathTherapy:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
Currently:

Peter: 7 years old
Mary: 3 years old

-------------------------------------------------------

x years into the future

Peter: 7+x years old
Mary: 3+x years old

-------------------------------------------------------

Multiply their future ages and you force that product to be 96

(7+x)*(3+x) = 96

21 + 7x + 3x + x^2 = 96

x^2 + 10x - 75 = 0

I'll let you take over.

------------------------------------------------------------------------

Let me know if that helps or not. Thanks.

If you need more help, feel free to email me at jim_thompson5910@hotmail.com

My Website: http://www.freewebs.com/jimthompson5910/home.html

Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website!
p, Peter and m, Mary.
x, how many years to pass;

Assuming using the given values would make the solution easier,

That is factorable.

Only the positive solution makes sense.

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!
Peter is 7 years old and Mary is 3 years old. In how many years will the product of their ages be 96?
I need a quadratic equation to solve this question

Let amount of years when product of their ages is 96, be Y
At that time(Y years from now), Peter will be 7 + Y, and Mary will be 3 + Y
Thus, we get:
(7 + Y)(3 + Y) = 96
----- FOILing left side of equation

, or
There's your quadratic equation
Solve for Y, the amount of years from now, when their ages will multiply to 96